Posted by **Michael** on Thursday, April 28, 2011 at 6:53pm.

Let f be the function given by f(x)=3sqrt(x-2).

A) On the axes provided sketch graph of f and shade the region R enclosed by the graph f, the x-axis, and the vertical line x=8 (already completed just mentioned it for part B.)

B) Find area of the region R described in part (A).

C) Rather than using line x=8 as in part (A),consider the line x=k, where k can be any number greater than 2. Let A(k) be the area of the region enclosed by the graphs of f, the x-axis, and the vertical line x=k. Write and integral expression for A(k).

D) Let A(k) be as described in part (C). Find the rate of change of A with respect to k when k=8.

## Answer This Question

## Related Questions

- algebra - the graph of a first degree absolute value function has a Y-intercept ...
- Calculus AB - Let f be the function that is given by f(x)=(ax+b)/(x^2 - c). It ...
- calculus - Sketch the region enclosed by the given curves. Decide whether to ...
- calculus - Sketch the region enclosed by the given curves. Decide whether to ...
- calculus - Sketch the region enclosed by the given curves. Decide whether to ...
- calculus - Sketch the region enclosed by the given curves. Decide whether to ...
- calculus - Sketch the region enclosed by the given curves. Decide whether to ...
- calculus - Sketch the region enclosed by the given curves. Decide whether to ...
- calculus - Sketch the region enclosed by the given curves. Decide whether to ...
- calculus - Sketch the region enclosed by the given curves. Decide whether to ...

More Related Questions